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every zero is going to come from another multiple of 10 in the mix. So 100,90,80,70,60,50,40,30,20,10 each contribute one zero to the total. We now have 10 zeros.
But ten comes from 2x5, so for every 5 that's in this thing, if there's an even to multiply it by, then there's another 10. so 95, 85, 75, 65, 55, 45, 35, 25, 15, 5 all contribute a 5, and there are definately enough even numbers to multiply them all by, so that's another 10 zeros.
Since there's no other way to get zeros, there are 20 contributers, and 20 zeros all together.